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Finding the Fourth Proportional to 2,014.83, 3,020.99 and 627.77

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Solution

The fourth proportional to 2,014.83, 3,020.99 and 627.77 is: 941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.83 : 3,020.99 = 627.77 : x
  2. Step 2: Convert to fraction form
    2,014.83/3,020.99 = 627.77/x
  3. Step 3: Cross multiply
    2,014.83x = 3,020.99 × 627.77
  4. Step 4: Simplify right side
    2,014.83x = 1,896,468.65
  5. Step 5: Solve for x
    x = 1,896,468.65/2,014.83
  6. Step 6: Final answer
    x = 941.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.